Hardest Pokemon to capture using a Poke Ball, Great Ball, or Ultra Ball.

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I'm not entire sure anymore. I don't know if I caught the Snorlax or not, and I'm sure there was something on one of the Sevii Islands I had a hard time capturing, but I can't think of any Pokémon at the moment.

Thank you everyone for your posts! One hard one was Rattata. Seriously! When you first start the game, they seem like the hardest thing in the world to catch! Also, I'm bumping up the limits... You can talk about any Pokemon game! I know it's under the Fire Red/Leaf Green section, but this is becoming a good topic! So have fun naming all of the hard ones! Any game, any region! Have fun!

My friend caught a Mewtwo at full health with a pokeball. By accident. I was there.
But the hardest pokemon to catch with any ball are the beasts. Theier percentages are in the negatives, and that's under ideal conditions. Luckily, I saved my Master Ball for when I encountered my beast.